Effect of the boundary condition on the vortex patterns in mesoscopic three-dimensional superconductors - disk and sphere

Abstract

The vortex state of mesoscopic three-dimensional superconductors is determined using a minimization procedure of the Ginzburg-Landau free energy. We obtain the vortex pattern for a mesoscopic superconducting sphere and find that vortex lines are naturally bent and are closest to each other at the equatorial plane. For a superconducting disk with finite height, and under an applied magnetic field perpendicular to its major surface, we find that our method gives results consistent with previous calculations. The matching fields, the magnetization and $H_{c3}$, are obtained for models that differ according to their boundary properties. A change of the Ginzburg-Landau parameters near the surface can substantially enhance $H_{c3}$ as shown here.

7 pages, 4 figures (low resolution)

References in corpus (8)

• Vortex phase diagram for mesoscopic superconducting disks
• Experimental Evidence for Giant Vortex States in a Mesoscopic Superconducting Disk
• Dependence of the vortex configuration on the geometry of mesoscopic flat samples
• Flux pinning properties of superconductors with an array of blind holes
• Experimental determination of the number of flux lines trapped by micro-holes in superconducting samples
• Magnetic Properties of the transition to localized superconductivity around columnar defects
• Transition to a Superconductor with Insulating Cavities
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Cited by in corpus (6)

• Neutron Stars in the Laboratory
• Unconventional vortex states in nanoscale superconductors due to shape-induced resonances in the inhomogeneous Cooper-pair condensate
• Vortex states in nanoscale superconducting squares: the influence of quantum confinement
• Transverse magnetization and torque in asymmetrical mesoscopic superconductors
• Vortex Lines in Ultralight Bosonic Dark Matter around Rotating Supermassive Black Holes
• Intermediate State in Type I superconducting sphere: pinning and size effect